将经典通用智能模型AIXI拓展至量子世界，构建可处理量子动作的智能体框架。
Quantum AIXI: Universal Intelligence via Quantum Information
- 基于量子与经典寄存器构建量子-经典交互模型，支持量子动作
- 提出量子版科尔莫戈罗夫复杂度与价值函数，实现量子环境下的强化学习
- 揭示量子上下文性对通用智能的深层影响，适合量子信息与AI交叉研究者
AIXI 是一种基于归纳推理与强化学习原理的通用人工智能（AGI）模型，但其本质为经典系统，且所处环境也均为经典。鉴于宇宙本质上是量子的，而经典方法模拟量子系统存在指数级开销，因此自然产生疑问：是否存在 AIXI 的量子类比？为此，本文将框架拓展至量子信息领域，提出量子 AIXI（QAIXI）。我们构建了基于量子与经典寄存器及信道的量子智能体/环境交互模型，表明量子 AIXI 智能体可执行经典与量子动作。通过将 AIXI 的核心组件以量子信息语言重新表述，扩展了先前关于量子科尔莫戈罗夫复杂度与 QAIXI 价值函数的研究。讨论了量子索博列夫归纳的条件与限制，并揭示了量子上下文性对 QAIXI 模型的根本影响。
原文摘要 · Abstract (English)
AIXI is a widely studied model of artificial general intelligence (AGI) based upon principles of induction and reinforcement learning. However, AIXI is fundamentally classical in nature - as are the environments in which it is modelled. Given the universe is quantum mechanical in nature and the exponential overhead required to simulate quantum mechanical systems classically, the question arises as to whether there are quantum mechanical analogues of AIXI. To address this question, we extend the framework to quantum information and present Quantum AIXI (QAIXI). We introduce a model of quantum agent/environment interaction based upon quantum and classical registers and channels, showing how quantum AIXI agents may take both classical and quantum actions. We formulate the key components of AIXI in quantum information terms, extending previous research on quantum Kolmogorov complexity and a QAIXI value function. We discuss conditions and limitations upon quantum Solomonoff induction and show how contextuality fundamentally affects QAIXI models.
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